Differentiation (trig, exponentials and logs) Flashcards
1
Q
derivative of sinx
A
cos x
2
Q
derivative of cosx
A
-sinx
3
Q
derivative of tanx
A
sec^2x
4
Q
derivative of sin(ax+b)
A
acos(ax+b)
5
Q
derivative of cos(ax+b)
A
-asin(ax+b)
6
Q
derivative of tan(ax+b)
A
asec^2(ax+b)
7
Q
derivative of logex
A
1/x
8
Q
derivative of logef(x)
A
f’(x)/f(x)
derivative over original
9
Q
derivative of (a^x)
A
(lna)a^x
ln of the function times by original function
10
Q
derivative of (a^f(x))
A
(lna)f’(x)a^f(x)
ln of function times by derivative of function times by original function
11
Q
derivative of logax
A
1/xlna
1 over x times ln of base a
12
Q
derivative of logaf(x)
A
f’(x)/(lna) f(x)
derivative of f(x) over ln of base a times by original f(x)
13
Q
derivative of e^f(x)
A
f’(x)e^f(x)
derivation of f(x) times by the original function